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Hint!

plus those obtained by symmetries of the Riemann Tensor. Confirm that [ as required ].

and deduce that the orbital equation is

where .

[ Notation as in the lecture notes; this exercise fills in the algebra.]

Derive the orbital equation in Newtonian theory and show that it has the solution

Use the arguement in the lecture notes to show that the GR solution is

Show that the solution for a Photon orbit () is

where b is the impact parameter.

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